Question

Which statement best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday?

Randomly generate an integer from 1 to 2 seven times, and the probability is 1/(2) (7)
Randomly generate an integer from 1 to 2 seven times, and the probability is 1/2^7
Randomly generate an integer from 1 to 7 two times, and the probability is 1/(2) (7)
Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

Answer 1

Answer: Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

Explanation:

Answer 2

Randomly generate an integer from 1 to 7 two times, and the probability is 1/7 ^2

This is the statement that best describes the use of a simulation to predict the probability that two randomly chosen people will both have their birthdays on a Monday.

There are 7 days in a week, so there are 7 choices but only 1 Monday. So, 1/7 is the probability that a person's birthday falls on a Monday.

1st person asked will have 1/7 probability.
2nd person asked will also have 1/7 probability

So, (1/7)² is the probability that both persons will have their birthdays on a Monday.